What is the inverse of f(x)=((3x-4))/(2-x) ?

The inverse of f(x)=((3x-4))/(2-x) is -(-4-2x)/(3+x)

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inverse of f(x)=((3x-4))/(2-x)

inverse

f (x) = \frac{( 3 x - 4 )}{2 - x}

- \frac{- 4 - 2 x}{3 + x}

Solution steps

y = \frac{3 x - 4}{2 - x}

Replace

x

with

y

x = \frac{3 y - 4}{2 - y}

Solve for

y, x = \frac{3 y - 4}{2 - y}

- \frac{- 4 - 2 x}{3 + x}

5 (x - 3)

f (x) = 3 - \frac{( x + 2 )}{( x + 2 ) ^{2} + 1}

2 y = 4 x^{2} + 8

y = x + 2 - 3

f (x) = 4 e^{x - 6} - 5

What is the inverse of f(x)=((3x-4))/(2-x) ?
The inverse of f(x)=((3x-4))/(2-x) is -(-4-2x)/(3+x)